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Finding the Fourth Proportional to 12,397, 18,590.64 and 4,600.48

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Solution

The fourth proportional to 12,397, 18,590.64 and 4,600.48 is: 6,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397 : 18,590.64 = 4,600.48 : x
  2. Step 2: Convert to fraction form
    12,397/18,590.64 = 4,600.48/x
  3. Step 3: Cross multiply
    12,397x = 18,590.64 × 4,600.48
  4. Step 4: Simplify right side
    12,397x = 85,525,867.51
  5. Step 5: Solve for x
    x = 85,525,867.51/12,397
  6. Step 6: Final answer
    x = 6,898.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.